(Algebraic Geometry, Algebra and Number Theory Seminar)
a joint venture of   UNT, UTA and TCU
Date/Time/Room: Fri Oct 17, 2003, at 3:00 pm in PKH 487 at UTA
Refreshments will be served at 2:45 pm.
Department of Mathematics,
``Regular Clifford Algebras''
The Artin-Schelter regular algebras of global dimension three
were classified many years ago. The AS-regular algebras of global
dimension four are still not classified, and even the generic class(es)
are unknown. In fact, very few candidates for generic AS-regular
algebras of global dimension four are even known. In this talk, I will
discuss the construction of AS-regular Clifford algebras, with the goal
of deforming them to produce potentially generic AS-regular algebras. I
will also discuss recent bizarre results of the speaker & D. Stephenson
that prove that Clifford algebras associated to certain finite numbers
of points do not exist.
Please mention/email this talk to any interested parties
and to your students if you are teaching an advanced undergraduate
algebra class or a graduate algebra class.
If you are travelling from out of town, then a map of UTA may be found at
Note that PKH is the triangular building in the
central-campus region of the map. Click on central campus to zoom in, and
PKH is in the SE corner of that map, next to the "garage" & is on Nedderman
Drive between College St & West St. Parking is available in the nearby (East
and SE of PKH) parking lots with a UTA permit (but many people park there
late on Fridays with no permit and are not caught). Visitor (free), &
metered, parking is available by Davis Hall (marked DH in South West part
of map). A parking garage (expensive) is nextdoor to PKH (use West St to
get to it). Note that if heading south on Cooper, then no left turn is
allowed to Nedderman Drive. Recommended route from UNT: eventually head
south on Hwy 360 (or Industrial Blvd = Collins) West on Abram, south on
Pecan, West on 4th, South on West St. Then use map. From TCU: east on I30,
exit Cooper, South on Cooper (but there is currently construction on Cooper
and so the possibility of heavy delays, so you might prefer to use Fielder,
heading South to W Mitchell, East on W Mitchell to Cooper), then use map.
(Note that Nedderman Drive between West St and Pecan St is closed.)
From anywhere else: good luck!
Note that PKH 487 is on the 4th floor of PKH; turn right out of elevator on
Questions, etc on arrangements/directions? Contact
Please notify us if coming from out of town, since, if you are a little
late, we will delay the start of the talk for you.